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Finding the Fourth Proportional to 8,098.12, 12,141.42 and 4,803.40

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Solution

The fourth proportional to 8,098.12, 12,141.42 and 4,803.40 is: 7,201.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.12 : 12,141.42 = 4,803.40 : x
  2. Step 2: Convert to fraction form
    8,098.12/12,141.42 = 4,803.40/x
  3. Step 3: Cross multiply
    8,098.12x = 12,141.42 × 4,803.40
  4. Step 4: Simplify right side
    8,098.12x = 58,320,096.83
  5. Step 5: Solve for x
    x = 58,320,096.83/8,098.12
  6. Step 6: Final answer
    x = 7,201.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.